Lattices of theories
Category Theory
2009-05-05 v1 Logic
Abstract
We show that there is a bijection between the subtoposes of the classifying topos of a geometric theory T over a signature L and the closed geometric theories over L which are `quotients' of the theory T; next, we analyze how classical topos-theoretic constructions on the lattice of subtoposes of a given topos can be transferred, via the bijection above, to logical constructions in the corresponding lattice of theories.
Keywords
Cite
@article{arxiv.0905.0299,
title = {Lattices of theories},
author = {Olivia Caramello},
journal= {arXiv preprint arXiv:0905.0299},
year = {2009}
}
Comments
84 pages